Discrete dynamic optimization applied to on-line optimal control

A general method has been developed for controlling deterministic systems described by linear or linearized dynamics. The discrete problem has been treated in detail. Step‐by‐step optimal controls for a quadratic performance index have been derived. The method accommodates upper and lower limits on...

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Bibliographic Details
Published in:AIChE journal 1968-01, Vol.14 (1), p.85-91
Main Authors: Rafal, Marshall D., Stevens, William F.
Format: Article
Language:English
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Summary:A general method has been developed for controlling deterministic systems described by linear or linearized dynamics. The discrete problem has been treated in detail. Step‐by‐step optimal controls for a quadratic performance index have been derived. The method accommodates upper and lower limits on the components of the control vector. A small binary distillation unit was considered as a typical application of the method. The control vector was made up of feed rate, reflux ratio, and reboiler heat load. Control to a desired state and about a load upset was effected. Calculations are performed quite rapidly and only grow significantly with an increase in the dimension of the control vector. Extension to much larger distillation units with the same controls thus seems practical.
ISSN:0001-1541
1547-5905
DOI:10.1002/aic.690140117